Discarding Parts of the Base for OOAs

Given an ordered orthogonal arrayA with parameters OOA(M, s,Fpu, T , k), an OOA(M, s,Fpuʹ, T , k)Aʹ with 1 ≤ uʹ ≤ u can be constructed. If M is not a power of puʹ, the resulting OOA listed by MinT is Aʹduplicatedpv times with v such that the number of runs is equal to the smallest power of puʹ exceeding M.

Construction

Let φ : Fpu→Fpuʹ denote an arbitrary surjective linear mapping. The resulting OOA Aʹ is obtained from A as